seminar on. biofluid mechanicspptx
DESCRIPTION
a ready made presentation of the most important aspects of biofluid mechanics.TRANSCRIPT
Seminar on
Bio-Fluid Mechanics
Submitted by SupervisorRituparn Singh Dr. Varun Goel14M306 MED
Contents
1. What is bio-fluid mechanics?2. Air flow in lungs3. Blood Rheology4. Flow in Heart5. Flow in Arteries
The Circulation System
Air flow in Lungs
Air flow in Lungs
Blood Rheology
1. Shear models of blood• Bingham• Casson (linear)• Casson (non-linear)• Herschel-Bulkeley
Blood Rheology
2. Blood viscosity models-• Maxwell • Oldroy-B
Fåhræus–Lindqvist effect
region near the wall
1p d dvr
L r dr dr
μc , vc
μp , vp
R
4
411 (1 / ) (1 / )
8 p cp
R pQ R
L
the volume flow
Cell-free marginal layer model
Flow in Heart
Flow in Arteries
• Macrovessels
• Microvessels
Pulsatile Flow
• a flow with periodic variations is known as pulsatile flow
• Womersley number
Wommersley equations• The equation for the motion of a viscous liquid in a cylindrical tube (general form):
• Arterial pulse = periodic function the sum of harmonics
• The solution:
– J0(xi3/2) is a Bessel function of the first kind of order zero and complex argument– y=r/R
2
2
1 1w w p w
r r r z t
3/ 220
2 3/ 20
( )*1
( )i tJ yiA R
w ei J i
The flow velocity pulse and the arterial pressure pulse (femoral artery of a dog).
Heavy physical Mild physical Sedentary work Sleep
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